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Finding the Fourth Proportional to 11,607.86, 16,018.82 and 6,302.62

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Solution

The fourth proportional to 11,607.86, 16,018.82 and 6,302.62 is: 8,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.86 : 16,018.82 = 6,302.62 : x
  2. Step 2: Convert to fraction form
    11,607.86/16,018.82 = 6,302.62/x
  3. Step 3: Cross multiply
    11,607.86x = 16,018.82 × 6,302.62
  4. Step 4: Simplify right side
    11,607.86x = 100,960,535.31
  5. Step 5: Solve for x
    x = 100,960,535.31/11,607.86
  6. Step 6: Final answer
    x = 8,697.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.